Question

In an election between two candidates, 75 % of the voters cast their votes, out of which 10% of the votes were declared invalid. A candidate got 81000 votes which were 75% of the total valid votes. Find the total number of votes.

1. 3,20,000
2. 1,80,000
3. 1,60,000
4. 2,10,000

Answer 1

Correct Answer - Option 3 : 1,60,000

Calculation:

Let the total number of votes enrolled are x.
Number of votes cast = 75% of x
Valid votes = 90% of 75% of x

Now, as 81000 is the 75% of valid cast votes so,

75% of 90% of 75% of x = 81000

⇒ (75 × 90 × 75 × x)/(100 × 100 × 100) 

⇒ 81,000

⇒ x = 1,60,000

∴ Total number of votes is 1,60,000